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<div class="title">ppolynomial.hpp</div>  </div>
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<div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="comment">/*</span></div>
<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="comment">Copyright (c) 2006, Michael Kazhdan and Matthew Bolitho</span></div>
<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;<span class="comment">All rights reserved.</span></div>
<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="comment"></span> </div>
<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="comment">Redistribution and use in source and binary forms, with or without modification,</span></div>
<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="comment">are permitted provided that the following conditions are met:</span></div>
<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="comment"></span> </div>
<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="comment">Redistributions of source code must retain the above copyright notice, this list of</span></div>
<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="comment">conditions and the following disclaimer. Redistributions in binary form must reproduce</span></div>
<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="comment">the above copyright notice, this list of conditions and the following disclaimer</span></div>
<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="comment">in the documentation and/or other materials provided with the distribution. </span></div>
<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="comment"></span> </div>
<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="comment">Neither the name of the Johns Hopkins University nor the names of its contributors</span></div>
<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="comment">may be used to endorse or promote products derived from this software without specific</span></div>
<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="comment">prior written permission. </span></div>
<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="comment"></span> </div>
<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="comment">THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS &quot;AS IS&quot; AND ANY</span></div>
<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="comment">EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO THE IMPLIED WARRANTIES </span></div>
<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="comment">OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT</span></div>
<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="comment">SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,</span></div>
<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;<span class="comment">INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED</span></div>
<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;<span class="comment">TO, PROCUREMENT OF SUBSTITUTE  GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR</span></div>
<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;<span class="comment">BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN</span></div>
<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;<span class="comment">CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN</span></div>
<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;<span class="comment">ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH</span></div>
<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;<span class="comment">DAMAGE.</span></div>
<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;<span class="comment">*/</span></div>
<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160; </div>
<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;<span class="preprocessor">#include &quot;factor.h&quot;</span></div>
<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160; </div>
<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;<span class="comment">// StartingPolynomial //</span></div>
<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;<span class="comment"></span> </div>
<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;<span class="keyword">namespace </span>pcl</div>
<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;{</div>
<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;  <span class="keyword">namespace </span>poisson</div>
<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;  {</div>
<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160; </div>
<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160; </div>
<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;    <span class="keyword">template</span>&lt;<span class="keywordtype">int</span> Degree&gt;</div>
<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;    <span class="keyword">template</span>&lt;<span class="keywordtype">int</span> Degree2&gt;</div>
<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;    StartingPolynomial&lt;Degree+Degree2&gt; StartingPolynomial&lt;Degree&gt;::operator * (<span class="keyword">const</span> StartingPolynomial&lt;Degree2&gt;&amp; p)<span class="keyword"> const</span>{</div>
<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;      StartingPolynomial&lt;Degree+Degree2&gt; sp;</div>
<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;      <span class="keywordflow">if</span>(start&gt;p.start){sp.start=start;}</div>
<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;      <span class="keywordflow">else</span>{sp.start=p.start;}</div>
<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;      sp.p=this-&gt;p*p.p;</div>
<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;      <span class="keywordflow">return</span> sp;</div>
<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;    }</div>
<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;    <span class="keyword">template</span>&lt;<span class="keywordtype">int</span> Degree&gt;</div>
<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;    StartingPolynomial&lt;Degree&gt; StartingPolynomial&lt;Degree&gt;::scale(<span class="keywordtype">double</span> s)<span class="keyword"> const</span>{</div>
<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;      StartingPolynomial q;</div>
<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;      q.start=start*s;</div>
<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;      q.p=p.scale(s);</div>
<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;      <span class="keywordflow">return</span> q;</div>
<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;    }</div>
<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;    <span class="keyword">template</span>&lt;<span class="keywordtype">int</span> Degree&gt;</div>
<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;    StartingPolynomial&lt;Degree&gt; StartingPolynomial&lt;Degree&gt;::shift(<span class="keywordtype">double</span> s)<span class="keyword"> const</span>{</div>
<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;      StartingPolynomial q;</div>
<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;      q.start=start+s;</div>
<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;      q.p=p.shift(s);</div>
<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;      <span class="keywordflow">return</span> q;</div>
<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;    }</div>
<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160; </div>
<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160; </div>
<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;    <span class="keyword">template</span>&lt;<span class="keywordtype">int</span> Degree&gt;</div>
<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;    <span class="keywordtype">int</span> StartingPolynomial&lt;Degree&gt;::operator &lt; (<span class="keyword">const</span> StartingPolynomial&lt;Degree&gt;&amp; sp)<span class="keyword"> const</span>{</div>
<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;      <span class="keywordflow">if</span>(start&lt;sp.start){<span class="keywordflow">return</span> 1;}</div>
<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;      <span class="keywordflow">else</span>{<span class="keywordflow">return</span> 0;}</div>
<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;    }</div>
<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;    <span class="keyword">template</span>&lt;<span class="keywordtype">int</span> Degree&gt;</div>
<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;    <span class="keywordtype">int</span> StartingPolynomial&lt;Degree&gt;::Compare(<span class="keyword">const</span> <span class="keywordtype">void</span>* v1,<span class="keyword">const</span> <span class="keywordtype">void</span>* v2){</div>
<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;      <span class="keywordtype">double</span> d=((StartingPolynomial*)(v1))-&gt;start-((StartingPolynomial*)(v2))-&gt;start;</div>
<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;      <span class="keywordflow">if</span>        (d&lt;0)   {<span class="keywordflow">return</span> -1;}</div>
<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;      <span class="keywordflow">else</span> <span class="keywordflow">if</span>   (d&gt;0)   {<span class="keywordflow">return</span>  1;}</div>
<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;      <span class="keywordflow">else</span>          {<span class="keywordflow">return</span>  0;}</div>
<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;    }</div>
<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160; </div>
<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;    <span class="comment">// PPolynomial //</span></div>
<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;<span class="comment"></span>    <span class="keyword">template</span>&lt;<span class="keywordtype">int</span> Degree&gt;</div>
<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;    PPolynomial&lt;Degree&gt;::PPolynomial(<span class="keywordtype">void</span>){</div>
<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;      polyCount=0;</div>
<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;      polys=NULL;</div>
<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;    }</div>
<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;    <span class="keyword">template</span>&lt;<span class="keywordtype">int</span> Degree&gt;</div>
<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;    PPolynomial&lt;Degree&gt;::PPolynomial(<span class="keyword">const</span> PPolynomial&lt;Degree&gt;&amp; p){</div>
<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;      polyCount=0;</div>
<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;      polys=NULL;</div>
<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;      set(p.polyCount);</div>
<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;      memcpy(polys,p.polys,<span class="keyword">sizeof</span>(StartingPolynomial&lt;Degree&gt;)*p.polyCount);</div>
<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;    }</div>
<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160; </div>
<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;    <span class="keyword">template</span>&lt;<span class="keywordtype">int</span> Degree&gt;</div>
<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;    PPolynomial&lt;Degree&gt;::~PPolynomial(<span class="keywordtype">void</span>){</div>
<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;      <span class="keywordflow">if</span>(polyCount){free(polys);}</div>
<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;      polyCount=0;</div>
<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;      polys=NULL;</div>
<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;    }</div>
<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;    <span class="keyword">template</span>&lt;<span class="keywordtype">int</span> Degree&gt;</div>
<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;    <span class="keywordtype">void</span> PPolynomial&lt;Degree&gt;::set(StartingPolynomial&lt;Degree&gt;* sps,<span class="keywordtype">int</span> count){</div>
<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;      <span class="keywordtype">int</span> i,c=0;</div>
<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;      set(count);</div>
<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;      qsort(sps,count,<span class="keyword">sizeof</span>(StartingPolynomial&lt;Degree&gt;),StartingPolynomial&lt;Degree&gt;::Compare);</div>
<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;      <span class="keywordflow">for</span>( i=0 ; i&lt;count ; i++ )</div>
<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;      {</div>
<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;        <span class="keywordflow">if</span>( !c || sps[i].start!=polys[c-1].start ) polys[c++] = sps[i];</div>
<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;        <span class="keywordflow">else</span>{polys[c-1].p+=sps[i].p;}</div>
<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;      }</div>
<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;      reset( c );</div>
<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;    }</div>
<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;    <span class="keyword">template</span> &lt;<span class="keywordtype">int</span> Degree&gt;</div>
<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;    <span class="keywordtype">int</span> PPolynomial&lt;Degree&gt;::size(<span class="keywordtype">void</span>)<span class="keyword"> const</span>{<span class="keywordflow">return</span> int(<span class="keyword">sizeof</span>(StartingPolynomial&lt;Degree&gt;)*polyCount);}</div>
<div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160; </div>
<div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;    <span class="keyword">template</span>&lt;<span class="keywordtype">int</span> Degree&gt;</div>
<div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;    <span class="keywordtype">void</span> PPolynomial&lt;Degree&gt;::set( <span class="keywordtype">size_t</span> size )</div>
<div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;    {</div>
<div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;      <span class="keywordflow">if</span>(polyCount){free(polys);}</div>
<div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;      polyCount=0;</div>
<div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;      polys=NULL;</div>
<div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160;      polyCount=size;</div>
<div class="line"><a name="l00123"></a><span class="lineno">  123</span>&#160;      <span class="keywordflow">if</span>(size){</div>
<div class="line"><a name="l00124"></a><span class="lineno">  124</span>&#160;        polys=(StartingPolynomial&lt;Degree&gt;*)malloc(<span class="keyword">sizeof</span>(StartingPolynomial&lt;Degree&gt;)*size);</div>
<div class="line"><a name="l00125"></a><span class="lineno">  125</span>&#160;        memset(polys,0,<span class="keyword">sizeof</span>(StartingPolynomial&lt;Degree&gt;)*size);</div>
<div class="line"><a name="l00126"></a><span class="lineno">  126</span>&#160;      }</div>
<div class="line"><a name="l00127"></a><span class="lineno">  127</span>&#160;    }</div>
<div class="line"><a name="l00128"></a><span class="lineno">  128</span>&#160;    <span class="keyword">template</span>&lt;<span class="keywordtype">int</span> Degree&gt;</div>
<div class="line"><a name="l00129"></a><span class="lineno">  129</span>&#160;    <span class="keywordtype">void</span> PPolynomial&lt;Degree&gt;::reset( <span class="keywordtype">size_t</span> newSize )</div>
<div class="line"><a name="l00130"></a><span class="lineno">  130</span>&#160;    {</div>
<div class="line"><a name="l00131"></a><span class="lineno">  131</span>&#160;      polyCount=newSize;</div>
<div class="line"><a name="l00132"></a><span class="lineno">  132</span>&#160;      polys=(StartingPolynomial&lt;Degree&gt;*)realloc(polys,<span class="keyword">sizeof</span>(StartingPolynomial&lt;Degree&gt;)*newSize);</div>
<div class="line"><a name="l00133"></a><span class="lineno">  133</span>&#160;    }</div>
<div class="line"><a name="l00134"></a><span class="lineno">  134</span>&#160; </div>
<div class="line"><a name="l00135"></a><span class="lineno">  135</span>&#160;    <span class="keyword">template</span>&lt;<span class="keywordtype">int</span> Degree&gt;</div>
<div class="line"><a name="l00136"></a><span class="lineno">  136</span>&#160;    PPolynomial&lt;Degree&gt;&amp; PPolynomial&lt;Degree&gt;::operator = (<span class="keyword">const</span> PPolynomial&lt;Degree&gt;&amp; p){</div>
<div class="line"><a name="l00137"></a><span class="lineno">  137</span>&#160;      set(p.polyCount);</div>
<div class="line"><a name="l00138"></a><span class="lineno">  138</span>&#160;      memcpy(polys,p.polys,<span class="keyword">sizeof</span>(StartingPolynomial&lt;Degree&gt;)*p.polyCount);</div>
<div class="line"><a name="l00139"></a><span class="lineno">  139</span>&#160;      <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><a name="l00140"></a><span class="lineno">  140</span>&#160;    }</div>
<div class="line"><a name="l00141"></a><span class="lineno">  141</span>&#160; </div>
<div class="line"><a name="l00142"></a><span class="lineno">  142</span>&#160;    <span class="keyword">template</span>&lt;<span class="keywordtype">int</span> Degree&gt;</div>
<div class="line"><a name="l00143"></a><span class="lineno">  143</span>&#160;    <span class="keyword">template</span>&lt;<span class="keywordtype">int</span> Degree2&gt;</div>
<div class="line"><a name="l00144"></a><span class="lineno">  144</span>&#160;    PPolynomial&lt;Degree&gt;&amp; PPolynomial&lt;Degree&gt;::operator  = (<span class="keyword">const</span> PPolynomial&lt;Degree2&gt;&amp; p){</div>
<div class="line"><a name="l00145"></a><span class="lineno">  145</span>&#160;      set(p.polyCount);</div>
<div class="line"><a name="l00146"></a><span class="lineno">  146</span>&#160;      <span class="keywordflow">for</span>(<span class="keywordtype">int</span> i=0;i&lt;int(polyCount);i++){</div>
<div class="line"><a name="l00147"></a><span class="lineno">  147</span>&#160;        polys[i].start=p.polys[i].start;</div>
<div class="line"><a name="l00148"></a><span class="lineno">  148</span>&#160;        polys[i].p=p.polys[i].p;</div>
<div class="line"><a name="l00149"></a><span class="lineno">  149</span>&#160;      }</div>
<div class="line"><a name="l00150"></a><span class="lineno">  150</span>&#160;      <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><a name="l00151"></a><span class="lineno">  151</span>&#160;    }</div>
<div class="line"><a name="l00152"></a><span class="lineno">  152</span>&#160; </div>
<div class="line"><a name="l00153"></a><span class="lineno">  153</span>&#160;    <span class="keyword">template</span>&lt;<span class="keywordtype">int</span> Degree&gt;</div>
<div class="line"><a name="l00154"></a><span class="lineno">  154</span>&#160;    <span class="keywordtype">double</span> PPolynomial&lt;Degree&gt;::operator ()( <span class="keywordtype">double</span> t )<span class="keyword"> const</span></div>
<div class="line"><a name="l00155"></a><span class="lineno">  155</span>&#160;<span class="keyword">    </span>{</div>
<div class="line"><a name="l00156"></a><span class="lineno">  156</span>&#160;      <span class="keywordtype">double</span> v=0;</div>
<div class="line"><a name="l00157"></a><span class="lineno">  157</span>&#160;      <span class="keywordflow">for</span>( <span class="keywordtype">int</span> i=0 ; i&lt;int(polyCount) &amp;&amp; t&gt;polys[i].start ; i++ ) v+=polys[i].p(t);</div>
<div class="line"><a name="l00158"></a><span class="lineno">  158</span>&#160;      <span class="keywordflow">return</span> v;</div>
<div class="line"><a name="l00159"></a><span class="lineno">  159</span>&#160;    }</div>
<div class="line"><a name="l00160"></a><span class="lineno">  160</span>&#160; </div>
<div class="line"><a name="l00161"></a><span class="lineno">  161</span>&#160;    <span class="keyword">template</span>&lt;<span class="keywordtype">int</span> Degree&gt;</div>
<div class="line"><a name="l00162"></a><span class="lineno">  162</span>&#160;    <span class="keywordtype">double</span> PPolynomial&lt;Degree&gt;::integral( <span class="keywordtype">double</span> tMin , <span class="keywordtype">double</span> tMax )<span class="keyword"> const</span></div>
<div class="line"><a name="l00163"></a><span class="lineno">  163</span>&#160;<span class="keyword">    </span>{</div>
<div class="line"><a name="l00164"></a><span class="lineno">  164</span>&#160;      <span class="keywordtype">int</span> m=1;</div>
<div class="line"><a name="l00165"></a><span class="lineno">  165</span>&#160;      <span class="keywordtype">double</span> start,end,s,v=0;</div>
<div class="line"><a name="l00166"></a><span class="lineno">  166</span>&#160;      start=tMin;</div>
<div class="line"><a name="l00167"></a><span class="lineno">  167</span>&#160;      end=tMax;</div>
<div class="line"><a name="l00168"></a><span class="lineno">  168</span>&#160;      <span class="keywordflow">if</span>(tMin&gt;tMax){</div>
<div class="line"><a name="l00169"></a><span class="lineno">  169</span>&#160;        m=-1;</div>
<div class="line"><a name="l00170"></a><span class="lineno">  170</span>&#160;        start=tMax;</div>
<div class="line"><a name="l00171"></a><span class="lineno">  171</span>&#160;        end=tMin;</div>
<div class="line"><a name="l00172"></a><span class="lineno">  172</span>&#160;      }</div>
<div class="line"><a name="l00173"></a><span class="lineno">  173</span>&#160;      <span class="keywordflow">for</span>(<span class="keywordtype">int</span> i=0;i&lt;int(polyCount) &amp;&amp; polys[i].start&lt;end;i++){</div>
<div class="line"><a name="l00174"></a><span class="lineno">  174</span>&#160;        <span class="keywordflow">if</span>(start&lt;polys[i].start){s=polys[i].start;}</div>
<div class="line"><a name="l00175"></a><span class="lineno">  175</span>&#160;        <span class="keywordflow">else</span>{s=start;}</div>
<div class="line"><a name="l00176"></a><span class="lineno">  176</span>&#160;        v+=polys[i].p.integral(s,end);</div>
<div class="line"><a name="l00177"></a><span class="lineno">  177</span>&#160;      }</div>
<div class="line"><a name="l00178"></a><span class="lineno">  178</span>&#160;      <span class="keywordflow">return</span> v*m;</div>
<div class="line"><a name="l00179"></a><span class="lineno">  179</span>&#160;    }</div>
<div class="line"><a name="l00180"></a><span class="lineno">  180</span>&#160;    <span class="keyword">template</span>&lt;<span class="keywordtype">int</span> Degree&gt;</div>
<div class="line"><a name="l00181"></a><span class="lineno">  181</span>&#160;    <span class="keywordtype">double</span> PPolynomial&lt;Degree&gt;::Integral(<span class="keywordtype">void</span>)<span class="keyword"> const</span>{<span class="keywordflow">return</span> integral(polys[0].start,polys[polyCount-1].start);}</div>
<div class="line"><a name="l00182"></a><span class="lineno">  182</span>&#160;    <span class="keyword">template</span>&lt;<span class="keywordtype">int</span> Degree&gt;</div>
<div class="line"><a name="l00183"></a><span class="lineno">  183</span>&#160;    PPolynomial&lt;Degree&gt; PPolynomial&lt;Degree&gt;::operator + (<span class="keyword">const</span> PPolynomial&lt;Degree&gt;&amp; p)<span class="keyword"> const</span>{</div>
<div class="line"><a name="l00184"></a><span class="lineno">  184</span>&#160;      PPolynomial q;</div>
<div class="line"><a name="l00185"></a><span class="lineno">  185</span>&#160;      <span class="keywordtype">int</span> i,j;</div>
<div class="line"><a name="l00186"></a><span class="lineno">  186</span>&#160;      <span class="keywordtype">size_t</span> idx=0;</div>
<div class="line"><a name="l00187"></a><span class="lineno">  187</span>&#160;      q.set(polyCount+p.polyCount);</div>
<div class="line"><a name="l00188"></a><span class="lineno">  188</span>&#160;      i=j=-1;</div>
<div class="line"><a name="l00189"></a><span class="lineno">  189</span>&#160; </div>
<div class="line"><a name="l00190"></a><span class="lineno">  190</span>&#160;      <span class="keywordflow">while</span>(idx&lt;q.polyCount){</div>
<div class="line"><a name="l00191"></a><span class="lineno">  191</span>&#160;        <span class="keywordflow">if</span>      (j&gt;=<span class="keywordtype">int</span>(p.polyCount)-1)             {q.polys[idx]=  polys[++i];}</div>
<div class="line"><a name="l00192"></a><span class="lineno">  192</span>&#160;        <span class="keywordflow">else</span> <span class="keywordflow">if</span> (i&gt;=<span class="keywordtype">int</span>(  polyCount)-1)             {q.polys[idx]=p.polys[++j];}</div>
<div class="line"><a name="l00193"></a><span class="lineno">  193</span>&#160;        <span class="keywordflow">else</span> <span class="keywordflow">if</span>(polys[i+1].start&lt;p.polys[j+1].start){q.polys[idx]=  polys[++i];}</div>
<div class="line"><a name="l00194"></a><span class="lineno">  194</span>&#160;        <span class="keywordflow">else</span>                                        {q.polys[idx]=p.polys[++j];}</div>
<div class="line"><a name="l00195"></a><span class="lineno">  195</span>&#160;        idx++;</div>
<div class="line"><a name="l00196"></a><span class="lineno">  196</span>&#160;      }</div>
<div class="line"><a name="l00197"></a><span class="lineno">  197</span>&#160;      <span class="keywordflow">return</span> q;</div>
<div class="line"><a name="l00198"></a><span class="lineno">  198</span>&#160;    }</div>
<div class="line"><a name="l00199"></a><span class="lineno">  199</span>&#160;    <span class="keyword">template</span>&lt;<span class="keywordtype">int</span> Degree&gt;</div>
<div class="line"><a name="l00200"></a><span class="lineno">  200</span>&#160;    PPolynomial&lt;Degree&gt; PPolynomial&lt;Degree&gt;::operator - (<span class="keyword">const</span> PPolynomial&lt;Degree&gt;&amp; p)<span class="keyword"> const</span>{</div>
<div class="line"><a name="l00201"></a><span class="lineno">  201</span>&#160;      PPolynomial q;</div>
<div class="line"><a name="l00202"></a><span class="lineno">  202</span>&#160;      <span class="keywordtype">int</span> i,j;</div>
<div class="line"><a name="l00203"></a><span class="lineno">  203</span>&#160;      <span class="keywordtype">size_t</span> idx=0;</div>
<div class="line"><a name="l00204"></a><span class="lineno">  204</span>&#160;      q.set(polyCount+p.polyCount);</div>
<div class="line"><a name="l00205"></a><span class="lineno">  205</span>&#160;      i=j=-1;</div>
<div class="line"><a name="l00206"></a><span class="lineno">  206</span>&#160; </div>
<div class="line"><a name="l00207"></a><span class="lineno">  207</span>&#160;      <span class="keywordflow">while</span>(idx&lt;q.polyCount){</div>
<div class="line"><a name="l00208"></a><span class="lineno">  208</span>&#160;        <span class="keywordflow">if</span>      (j&gt;=<span class="keywordtype">int</span>(p.polyCount)-1)             {q.polys[idx]=  polys[++i];}</div>
<div class="line"><a name="l00209"></a><span class="lineno">  209</span>&#160;        <span class="keywordflow">else</span> <span class="keywordflow">if</span> (i&gt;=<span class="keywordtype">int</span>(  polyCount)-1)             {q.polys[idx].start=p.polys[++j].start;q.polys[idx].p=p.polys[j].p*(-1.0);}</div>
<div class="line"><a name="l00210"></a><span class="lineno">  210</span>&#160;        <span class="keywordflow">else</span> <span class="keywordflow">if</span>(polys[i+1].start&lt;p.polys[j+1].start){q.polys[idx]=  polys[++i];}</div>
<div class="line"><a name="l00211"></a><span class="lineno">  211</span>&#160;        <span class="keywordflow">else</span>                                        {q.polys[idx].start=p.polys[++j].start;q.polys[idx].p=p.polys[j].p*(-1.0);}</div>
<div class="line"><a name="l00212"></a><span class="lineno">  212</span>&#160;        idx++;</div>
<div class="line"><a name="l00213"></a><span class="lineno">  213</span>&#160;      }</div>
<div class="line"><a name="l00214"></a><span class="lineno">  214</span>&#160;      <span class="keywordflow">return</span> q;</div>
<div class="line"><a name="l00215"></a><span class="lineno">  215</span>&#160;    }</div>
<div class="line"><a name="l00216"></a><span class="lineno">  216</span>&#160;    <span class="keyword">template</span>&lt;<span class="keywordtype">int</span> Degree&gt;</div>
<div class="line"><a name="l00217"></a><span class="lineno">  217</span>&#160;    PPolynomial&lt;Degree&gt;&amp; PPolynomial&lt;Degree&gt;::addScaled(<span class="keyword">const</span> PPolynomial&lt;Degree&gt;&amp; p,<span class="keywordtype">double</span> scale){</div>
<div class="line"><a name="l00218"></a><span class="lineno">  218</span>&#160;      <span class="keywordtype">int</span> i,j;</div>
<div class="line"><a name="l00219"></a><span class="lineno">  219</span>&#160;      StartingPolynomial&lt;Degree&gt;* oldPolys=polys;</div>
<div class="line"><a name="l00220"></a><span class="lineno">  220</span>&#160;      <span class="keywordtype">size_t</span> idx=0,cnt=0,oldPolyCount=polyCount;</div>
<div class="line"><a name="l00221"></a><span class="lineno">  221</span>&#160;      polyCount=0;</div>
<div class="line"><a name="l00222"></a><span class="lineno">  222</span>&#160;      polys=NULL;</div>
<div class="line"><a name="l00223"></a><span class="lineno">  223</span>&#160;      set(oldPolyCount+p.polyCount);</div>
<div class="line"><a name="l00224"></a><span class="lineno">  224</span>&#160;      i=j=-1;</div>
<div class="line"><a name="l00225"></a><span class="lineno">  225</span>&#160;      <span class="keywordflow">while</span>(cnt&lt;polyCount){</div>
<div class="line"><a name="l00226"></a><span class="lineno">  226</span>&#160;        <span class="keywordflow">if</span>      (j&gt;=<span class="keywordtype">int</span>( p.polyCount)-1)                {polys[idx]=oldPolys[++i];}</div>
<div class="line"><a name="l00227"></a><span class="lineno">  227</span>&#160;        <span class="keywordflow">else</span> <span class="keywordflow">if</span> (i&gt;=<span class="keywordtype">int</span>(oldPolyCount)-1)                {polys[idx].start= p.polys[++j].start;polys[idx].p=p.polys[j].p*scale;}</div>
<div class="line"><a name="l00228"></a><span class="lineno">  228</span>&#160;        <span class="keywordflow">else</span> <span class="keywordflow">if</span> (oldPolys[i+1].start&lt;p.polys[j+1].start){polys[idx]=oldPolys[++i];}</div>
<div class="line"><a name="l00229"></a><span class="lineno">  229</span>&#160;        <span class="keywordflow">else</span>                                            {polys[idx].start= p.polys[++j].start;polys[idx].p=p.polys[j].p*scale;}</div>
<div class="line"><a name="l00230"></a><span class="lineno">  230</span>&#160;        <span class="keywordflow">if</span>(idx &amp;&amp; polys[idx].start==polys[idx-1].start) {polys[idx-1].p+=polys[idx].p;}</div>
<div class="line"><a name="l00231"></a><span class="lineno">  231</span>&#160;        <span class="keywordflow">else</span>{idx++;}</div>
<div class="line"><a name="l00232"></a><span class="lineno">  232</span>&#160;        cnt++;</div>
<div class="line"><a name="l00233"></a><span class="lineno">  233</span>&#160;      }</div>
<div class="line"><a name="l00234"></a><span class="lineno">  234</span>&#160;      free(oldPolys);</div>
<div class="line"><a name="l00235"></a><span class="lineno">  235</span>&#160;      reset(idx);</div>
<div class="line"><a name="l00236"></a><span class="lineno">  236</span>&#160;      <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><a name="l00237"></a><span class="lineno">  237</span>&#160;    }</div>
<div class="line"><a name="l00238"></a><span class="lineno">  238</span>&#160;    <span class="keyword">template</span>&lt;<span class="keywordtype">int</span> Degree&gt;</div>
<div class="line"><a name="l00239"></a><span class="lineno">  239</span>&#160;    <span class="keyword">template</span>&lt;<span class="keywordtype">int</span> Degree2&gt;</div>
<div class="line"><a name="l00240"></a><span class="lineno">  240</span>&#160;    PPolynomial&lt;Degree+Degree2&gt; PPolynomial&lt;Degree&gt;::operator * (<span class="keyword">const</span> PPolynomial&lt;Degree2&gt;&amp; p)<span class="keyword"> const</span>{</div>
<div class="line"><a name="l00241"></a><span class="lineno">  241</span>&#160;      PPolynomial&lt;Degree+Degree2&gt; q;</div>
<div class="line"><a name="l00242"></a><span class="lineno">  242</span>&#160;      StartingPolynomial&lt;Degree+Degree2&gt; *sp;</div>
<div class="line"><a name="l00243"></a><span class="lineno">  243</span>&#160;      <span class="keywordtype">int</span> i,j,spCount=int(polyCount*p.polyCount);</div>
<div class="line"><a name="l00244"></a><span class="lineno">  244</span>&#160; </div>
<div class="line"><a name="l00245"></a><span class="lineno">  245</span>&#160;      sp=(StartingPolynomial&lt;Degree+Degree2&gt;*)malloc(<span class="keyword">sizeof</span>(StartingPolynomial&lt;Degree+Degree2&gt;)*spCount);</div>
<div class="line"><a name="l00246"></a><span class="lineno">  246</span>&#160;      <span class="keywordflow">for</span>(i=0;i&lt;int(polyCount);i++){</div>
<div class="line"><a name="l00247"></a><span class="lineno">  247</span>&#160;        <span class="keywordflow">for</span>(j=0;j&lt;int(p.polyCount);j++){</div>
<div class="line"><a name="l00248"></a><span class="lineno">  248</span>&#160;          sp[i*p.polyCount+j]=polys[i]*p.polys[j];</div>
<div class="line"><a name="l00249"></a><span class="lineno">  249</span>&#160;        }</div>
<div class="line"><a name="l00250"></a><span class="lineno">  250</span>&#160;      }</div>
<div class="line"><a name="l00251"></a><span class="lineno">  251</span>&#160;      q.set(sp,spCount);</div>
<div class="line"><a name="l00252"></a><span class="lineno">  252</span>&#160;      free(sp);</div>
<div class="line"><a name="l00253"></a><span class="lineno">  253</span>&#160;      <span class="keywordflow">return</span> q;</div>
<div class="line"><a name="l00254"></a><span class="lineno">  254</span>&#160;    }</div>
<div class="line"><a name="l00255"></a><span class="lineno">  255</span>&#160;    <span class="keyword">template</span>&lt;<span class="keywordtype">int</span> Degree&gt;</div>
<div class="line"><a name="l00256"></a><span class="lineno">  256</span>&#160;    <span class="keyword">template</span>&lt;<span class="keywordtype">int</span> Degree2&gt;</div>
<div class="line"><a name="l00257"></a><span class="lineno">  257</span>&#160;    PPolynomial&lt;Degree+Degree2&gt; PPolynomial&lt;Degree&gt;::operator * (<span class="keyword">const</span> Polynomial&lt;Degree2&gt;&amp; p)<span class="keyword"> const</span>{</div>
<div class="line"><a name="l00258"></a><span class="lineno">  258</span>&#160;      PPolynomial&lt;Degree+Degree2&gt; q;</div>
<div class="line"><a name="l00259"></a><span class="lineno">  259</span>&#160;      q.set(polyCount);</div>
<div class="line"><a name="l00260"></a><span class="lineno">  260</span>&#160;      <span class="keywordflow">for</span>(<span class="keywordtype">int</span> i=0;i&lt;int(polyCount);i++){</div>
<div class="line"><a name="l00261"></a><span class="lineno">  261</span>&#160;        q.polys[i].start=polys[i].start;</div>
<div class="line"><a name="l00262"></a><span class="lineno">  262</span>&#160;        q.polys[i].p=polys[i].p*p;</div>
<div class="line"><a name="l00263"></a><span class="lineno">  263</span>&#160;      }</div>
<div class="line"><a name="l00264"></a><span class="lineno">  264</span>&#160;      <span class="keywordflow">return</span> q;</div>
<div class="line"><a name="l00265"></a><span class="lineno">  265</span>&#160;    }</div>
<div class="line"><a name="l00266"></a><span class="lineno">  266</span>&#160;    <span class="keyword">template</span>&lt;<span class="keywordtype">int</span> Degree&gt;</div>
<div class="line"><a name="l00267"></a><span class="lineno">  267</span>&#160;    PPolynomial&lt;Degree&gt; PPolynomial&lt;Degree&gt;::scale( <span class="keywordtype">double</span> s )<span class="keyword"> const</span></div>
<div class="line"><a name="l00268"></a><span class="lineno">  268</span>&#160;<span class="keyword">    </span>{</div>
<div class="line"><a name="l00269"></a><span class="lineno">  269</span>&#160;      PPolynomial q;</div>
<div class="line"><a name="l00270"></a><span class="lineno">  270</span>&#160;      q.set(polyCount);</div>
<div class="line"><a name="l00271"></a><span class="lineno">  271</span>&#160;      <span class="keywordflow">for</span>(<span class="keywordtype">size_t</span> i=0;i&lt;polyCount;i++){q.polys[i]=polys[i].scale(s);}</div>
<div class="line"><a name="l00272"></a><span class="lineno">  272</span>&#160;      <span class="keywordflow">return</span> q;</div>
<div class="line"><a name="l00273"></a><span class="lineno">  273</span>&#160;    }</div>
<div class="line"><a name="l00274"></a><span class="lineno">  274</span>&#160;    <span class="keyword">template</span>&lt;<span class="keywordtype">int</span> Degree&gt;</div>
<div class="line"><a name="l00275"></a><span class="lineno">  275</span>&#160;    PPolynomial&lt;Degree&gt; PPolynomial&lt;Degree&gt;::shift( <span class="keywordtype">double</span> s )<span class="keyword"> const</span></div>
<div class="line"><a name="l00276"></a><span class="lineno">  276</span>&#160;<span class="keyword">    </span>{</div>
<div class="line"><a name="l00277"></a><span class="lineno">  277</span>&#160;      PPolynomial q;</div>
<div class="line"><a name="l00278"></a><span class="lineno">  278</span>&#160;      q.set(polyCount);</div>
<div class="line"><a name="l00279"></a><span class="lineno">  279</span>&#160;      <span class="keywordflow">for</span>(<span class="keywordtype">size_t</span> i=0;i&lt;polyCount;i++){q.polys[i]=polys[i].shift(s);}</div>
<div class="line"><a name="l00280"></a><span class="lineno">  280</span>&#160;      <span class="keywordflow">return</span> q;</div>
<div class="line"><a name="l00281"></a><span class="lineno">  281</span>&#160;    }</div>
<div class="line"><a name="l00282"></a><span class="lineno">  282</span>&#160;    <span class="keyword">template</span>&lt;<span class="keywordtype">int</span> Degree&gt;</div>
<div class="line"><a name="l00283"></a><span class="lineno">  283</span>&#160;    PPolynomial&lt;Degree-1&gt; PPolynomial&lt;Degree&gt;::derivative(<span class="keywordtype">void</span>)<span class="keyword"> const</span>{</div>
<div class="line"><a name="l00284"></a><span class="lineno">  284</span>&#160;      PPolynomial&lt;Degree-1&gt; q;</div>
<div class="line"><a name="l00285"></a><span class="lineno">  285</span>&#160;      q.set(polyCount);</div>
<div class="line"><a name="l00286"></a><span class="lineno">  286</span>&#160;      <span class="keywordflow">for</span>(<span class="keywordtype">size_t</span> i=0;i&lt;polyCount;i++){</div>
<div class="line"><a name="l00287"></a><span class="lineno">  287</span>&#160;        q.polys[i].start=polys[i].start;</div>
<div class="line"><a name="l00288"></a><span class="lineno">  288</span>&#160;        q.polys[i].p=polys[i].p.derivative();</div>
<div class="line"><a name="l00289"></a><span class="lineno">  289</span>&#160;      }</div>
<div class="line"><a name="l00290"></a><span class="lineno">  290</span>&#160;      <span class="keywordflow">return</span> q;</div>
<div class="line"><a name="l00291"></a><span class="lineno">  291</span>&#160;    }</div>
<div class="line"><a name="l00292"></a><span class="lineno">  292</span>&#160;    <span class="keyword">template</span>&lt;<span class="keywordtype">int</span> Degree&gt;</div>
<div class="line"><a name="l00293"></a><span class="lineno">  293</span>&#160;    PPolynomial&lt;Degree+1&gt; PPolynomial&lt;Degree&gt;::integral(<span class="keywordtype">void</span>)<span class="keyword"> const</span>{</div>
<div class="line"><a name="l00294"></a><span class="lineno">  294</span>&#160;      <span class="keywordtype">int</span> i;</div>
<div class="line"><a name="l00295"></a><span class="lineno">  295</span>&#160;      PPolynomial&lt;Degree+1&gt; q;</div>
<div class="line"><a name="l00296"></a><span class="lineno">  296</span>&#160;      q.set(polyCount);</div>
<div class="line"><a name="l00297"></a><span class="lineno">  297</span>&#160;      <span class="keywordflow">for</span>(i=0;i&lt;int(polyCount);i++){</div>
<div class="line"><a name="l00298"></a><span class="lineno">  298</span>&#160;        q.polys[i].start=polys[i].start;</div>
<div class="line"><a name="l00299"></a><span class="lineno">  299</span>&#160;        q.polys[i].p=polys[i].p.integral();</div>
<div class="line"><a name="l00300"></a><span class="lineno">  300</span>&#160;        q.polys[i].p-=q.polys[i].p(q.polys[i].start);</div>
<div class="line"><a name="l00301"></a><span class="lineno">  301</span>&#160;      }</div>
<div class="line"><a name="l00302"></a><span class="lineno">  302</span>&#160;      <span class="keywordflow">return</span> q;</div>
<div class="line"><a name="l00303"></a><span class="lineno">  303</span>&#160;    }</div>
<div class="line"><a name="l00304"></a><span class="lineno">  304</span>&#160;    <span class="keyword">template</span>&lt;<span class="keywordtype">int</span> Degree&gt;</div>
<div class="line"><a name="l00305"></a><span class="lineno">  305</span>&#160;    PPolynomial&lt;Degree&gt;&amp; PPolynomial&lt;Degree&gt;::operator  += ( <span class="keywordtype">double</span> s ) {polys[0].p+=s;}</div>
<div class="line"><a name="l00306"></a><span class="lineno">  306</span>&#160;    <span class="keyword">template</span>&lt;<span class="keywordtype">int</span> Degree&gt;</div>
<div class="line"><a name="l00307"></a><span class="lineno">  307</span>&#160;    PPolynomial&lt;Degree&gt;&amp; PPolynomial&lt;Degree&gt;::operator  -= ( <span class="keywordtype">double</span> s ) {polys[0].p-=s;}</div>
<div class="line"><a name="l00308"></a><span class="lineno">  308</span>&#160;    <span class="keyword">template</span>&lt;<span class="keywordtype">int</span> Degree&gt;</div>
<div class="line"><a name="l00309"></a><span class="lineno">  309</span>&#160;    PPolynomial&lt;Degree&gt;&amp; PPolynomial&lt;Degree&gt;::operator  *= ( <span class="keywordtype">double</span> s )</div>
<div class="line"><a name="l00310"></a><span class="lineno">  310</span>&#160;    {</div>
<div class="line"><a name="l00311"></a><span class="lineno">  311</span>&#160;      <span class="keywordflow">for</span>(<span class="keywordtype">int</span> i=0;i&lt;int(polyCount);i++){polys[i].p*=s;}</div>
<div class="line"><a name="l00312"></a><span class="lineno">  312</span>&#160;      <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><a name="l00313"></a><span class="lineno">  313</span>&#160;    }</div>
<div class="line"><a name="l00314"></a><span class="lineno">  314</span>&#160;    <span class="keyword">template</span>&lt;<span class="keywordtype">int</span> Degree&gt;</div>
<div class="line"><a name="l00315"></a><span class="lineno">  315</span>&#160;    PPolynomial&lt;Degree&gt;&amp; PPolynomial&lt;Degree&gt;::operator  /= ( <span class="keywordtype">double</span> s )</div>
<div class="line"><a name="l00316"></a><span class="lineno">  316</span>&#160;    {</div>
<div class="line"><a name="l00317"></a><span class="lineno">  317</span>&#160;      <span class="keywordflow">for</span>(<span class="keywordtype">size_t</span> i=0;i&lt;polyCount;i++){polys[i].p/=s;}</div>
<div class="line"><a name="l00318"></a><span class="lineno">  318</span>&#160;      <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><a name="l00319"></a><span class="lineno">  319</span>&#160;    }</div>
<div class="line"><a name="l00320"></a><span class="lineno">  320</span>&#160;    <span class="keyword">template</span>&lt;<span class="keywordtype">int</span> Degree&gt;</div>
<div class="line"><a name="l00321"></a><span class="lineno">  321</span>&#160;    PPolynomial&lt;Degree&gt; PPolynomial&lt;Degree&gt;::operator + ( <span class="keywordtype">double</span> s )<span class="keyword"> const</span></div>
<div class="line"><a name="l00322"></a><span class="lineno">  322</span>&#160;<span class="keyword">    </span>{</div>
<div class="line"><a name="l00323"></a><span class="lineno">  323</span>&#160;      PPolynomial q=*<span class="keyword">this</span>;</div>
<div class="line"><a name="l00324"></a><span class="lineno">  324</span>&#160;      q+=s;</div>
<div class="line"><a name="l00325"></a><span class="lineno">  325</span>&#160;      <span class="keywordflow">return</span> q;</div>
<div class="line"><a name="l00326"></a><span class="lineno">  326</span>&#160;    }</div>
<div class="line"><a name="l00327"></a><span class="lineno">  327</span>&#160;    <span class="keyword">template</span>&lt;<span class="keywordtype">int</span> Degree&gt;</div>
<div class="line"><a name="l00328"></a><span class="lineno">  328</span>&#160;    PPolynomial&lt;Degree&gt; PPolynomial&lt;Degree&gt;::operator - ( <span class="keywordtype">double</span> s )<span class="keyword"> const</span></div>
<div class="line"><a name="l00329"></a><span class="lineno">  329</span>&#160;<span class="keyword">    </span>{</div>
<div class="line"><a name="l00330"></a><span class="lineno">  330</span>&#160;      PPolynomial q=*<span class="keyword">this</span>;</div>
<div class="line"><a name="l00331"></a><span class="lineno">  331</span>&#160;      q-=s;</div>
<div class="line"><a name="l00332"></a><span class="lineno">  332</span>&#160;      <span class="keywordflow">return</span> q;</div>
<div class="line"><a name="l00333"></a><span class="lineno">  333</span>&#160;    }</div>
<div class="line"><a name="l00334"></a><span class="lineno">  334</span>&#160;    <span class="keyword">template</span>&lt;<span class="keywordtype">int</span> Degree&gt;</div>
<div class="line"><a name="l00335"></a><span class="lineno">  335</span>&#160;    PPolynomial&lt;Degree&gt; PPolynomial&lt;Degree&gt;::operator * ( <span class="keywordtype">double</span> s )<span class="keyword"> const</span></div>
<div class="line"><a name="l00336"></a><span class="lineno">  336</span>&#160;<span class="keyword">    </span>{</div>
<div class="line"><a name="l00337"></a><span class="lineno">  337</span>&#160;      PPolynomial q=*<span class="keyword">this</span>;</div>
<div class="line"><a name="l00338"></a><span class="lineno">  338</span>&#160;      q*=s;</div>
<div class="line"><a name="l00339"></a><span class="lineno">  339</span>&#160;      <span class="keywordflow">return</span> q;</div>
<div class="line"><a name="l00340"></a><span class="lineno">  340</span>&#160;    }</div>
<div class="line"><a name="l00341"></a><span class="lineno">  341</span>&#160;    <span class="keyword">template</span>&lt;<span class="keywordtype">int</span> Degree&gt;</div>
<div class="line"><a name="l00342"></a><span class="lineno">  342</span>&#160;    PPolynomial&lt;Degree&gt; PPolynomial&lt;Degree&gt;::operator / ( <span class="keywordtype">double</span> s )<span class="keyword"> const</span></div>
<div class="line"><a name="l00343"></a><span class="lineno">  343</span>&#160;<span class="keyword">    </span>{</div>
<div class="line"><a name="l00344"></a><span class="lineno">  344</span>&#160;      PPolynomial q=*<span class="keyword">this</span>;</div>
<div class="line"><a name="l00345"></a><span class="lineno">  345</span>&#160;      q/=s;</div>
<div class="line"><a name="l00346"></a><span class="lineno">  346</span>&#160;      <span class="keywordflow">return</span> q;</div>
<div class="line"><a name="l00347"></a><span class="lineno">  347</span>&#160;    }</div>
<div class="line"><a name="l00348"></a><span class="lineno">  348</span>&#160; </div>
<div class="line"><a name="l00349"></a><span class="lineno">  349</span>&#160;    <span class="keyword">template</span>&lt;<span class="keywordtype">int</span> Degree&gt;</div>
<div class="line"><a name="l00350"></a><span class="lineno">  350</span>&#160;    <span class="keywordtype">void</span> PPolynomial&lt;Degree&gt;::printnl(<span class="keywordtype">void</span>)<span class="keyword"> const</span>{</div>
<div class="line"><a name="l00351"></a><span class="lineno">  351</span>&#160;      Polynomial&lt;Degree&gt; p;</div>
<div class="line"><a name="l00352"></a><span class="lineno">  352</span>&#160; </div>
<div class="line"><a name="l00353"></a><span class="lineno">  353</span>&#160;      <span class="keywordflow">if</span>(!polyCount){</div>
<div class="line"><a name="l00354"></a><span class="lineno">  354</span>&#160;        Polynomial&lt;Degree&gt; p;</div>
<div class="line"><a name="l00355"></a><span class="lineno">  355</span>&#160;        printf(<span class="stringliteral">&quot;[-Infinity,Infinity]\n&quot;</span>);</div>
<div class="line"><a name="l00356"></a><span class="lineno">  356</span>&#160;      }</div>
<div class="line"><a name="l00357"></a><span class="lineno">  357</span>&#160;      <span class="keywordflow">else</span>{</div>
<div class="line"><a name="l00358"></a><span class="lineno">  358</span>&#160;        <span class="keywordflow">for</span>(<span class="keywordtype">size_t</span> i=0;i&lt;polyCount;i++){</div>
<div class="line"><a name="l00359"></a><span class="lineno">  359</span>&#160;          printf(<span class="stringliteral">&quot;[&quot;</span>);</div>
<div class="line"><a name="l00360"></a><span class="lineno">  360</span>&#160;          <span class="keywordflow">if</span>        (polys[i  ].start== DBL_MAX){printf(<span class="stringliteral">&quot;Infinity,&quot;</span>);}</div>
<div class="line"><a name="l00361"></a><span class="lineno">  361</span>&#160;          <span class="keywordflow">else</span> <span class="keywordflow">if</span>   (polys[i  ].start==-DBL_MAX){printf(<span class="stringliteral">&quot;-Infinity,&quot;</span>);}</div>
<div class="line"><a name="l00362"></a><span class="lineno">  362</span>&#160;          <span class="keywordflow">else</span>                              {printf(<span class="stringliteral">&quot;%f,&quot;</span>,polys[i].start);}</div>
<div class="line"><a name="l00363"></a><span class="lineno">  363</span>&#160;          <span class="keywordflow">if</span>(i+1==polyCount)                    {printf(<span class="stringliteral">&quot;Infinity]\t&quot;</span>);}</div>
<div class="line"><a name="l00364"></a><span class="lineno">  364</span>&#160;          <span class="keywordflow">else</span> <span class="keywordflow">if</span> (polys[i+1].start== DBL_MAX){printf(<span class="stringliteral">&quot;Infinity]\t&quot;</span>);}</div>
<div class="line"><a name="l00365"></a><span class="lineno">  365</span>&#160;          <span class="keywordflow">else</span> <span class="keywordflow">if</span>   (polys[i+1].start==-DBL_MAX){printf(<span class="stringliteral">&quot;-Infinity]\t&quot;</span>);}</div>
<div class="line"><a name="l00366"></a><span class="lineno">  366</span>&#160;          <span class="keywordflow">else</span>                              {printf(<span class="stringliteral">&quot;%f]\t&quot;</span>,polys[i+1].start);}</div>
<div class="line"><a name="l00367"></a><span class="lineno">  367</span>&#160;          p=p+polys[i].p;</div>
<div class="line"><a name="l00368"></a><span class="lineno">  368</span>&#160;          p.printnl();</div>
<div class="line"><a name="l00369"></a><span class="lineno">  369</span>&#160;        }</div>
<div class="line"><a name="l00370"></a><span class="lineno">  370</span>&#160;      }</div>
<div class="line"><a name="l00371"></a><span class="lineno">  371</span>&#160;      printf(<span class="stringliteral">&quot;\n&quot;</span>);</div>
<div class="line"><a name="l00372"></a><span class="lineno">  372</span>&#160;    }</div>
<div class="line"><a name="l00373"></a><span class="lineno">  373</span>&#160;    <span class="keyword">template</span>&lt; &gt;</div>
<div class="line"><a name="l00374"></a><span class="lineno">  374</span>&#160;    PPolynomial&lt; 0 &gt; PPolynomial&lt; 0 &gt;::BSpline( <span class="keywordtype">double</span> radius )</div>
<div class="line"><a name="l00375"></a><span class="lineno">  375</span>&#160;    {</div>
<div class="line"><a name="l00376"></a><span class="lineno">  376</span>&#160;      PPolynomial q;</div>
<div class="line"><a name="l00377"></a><span class="lineno">  377</span>&#160;      q.set(2);</div>
<div class="line"><a name="l00378"></a><span class="lineno">  378</span>&#160; </div>
<div class="line"><a name="l00379"></a><span class="lineno">  379</span>&#160;      q.polys[0].start=-radius;</div>
<div class="line"><a name="l00380"></a><span class="lineno">  380</span>&#160;      q.polys[1].start= radius;</div>
<div class="line"><a name="l00381"></a><span class="lineno">  381</span>&#160; </div>
<div class="line"><a name="l00382"></a><span class="lineno">  382</span>&#160;      q.polys[0].p.coefficients[0]= 1.0;</div>
<div class="line"><a name="l00383"></a><span class="lineno">  383</span>&#160;      q.polys[1].p.coefficients[0]=-1.0;</div>
<div class="line"><a name="l00384"></a><span class="lineno">  384</span>&#160;      <span class="keywordflow">return</span> q;</div>
<div class="line"><a name="l00385"></a><span class="lineno">  385</span>&#160;    }</div>
<div class="line"><a name="l00386"></a><span class="lineno">  386</span>&#160;    <span class="keyword">template</span>&lt; <span class="keywordtype">int</span> Degree &gt;</div>
<div class="line"><a name="l00387"></a><span class="lineno">  387</span>&#160;    PPolynomial&lt; Degree &gt; PPolynomial&lt;Degree&gt;::BSpline( <span class="keywordtype">double</span> radius )</div>
<div class="line"><a name="l00388"></a><span class="lineno">  388</span>&#160;    {</div>
<div class="line"><a name="l00389"></a><span class="lineno">  389</span>&#160;      <span class="keywordflow">return</span> PPolynomial&lt; Degree-1 &gt;::BSpline().MovingAverage( radius );</div>
<div class="line"><a name="l00390"></a><span class="lineno">  390</span>&#160;    }</div>
<div class="line"><a name="l00391"></a><span class="lineno">  391</span>&#160;    <span class="keyword">template</span>&lt;<span class="keywordtype">int</span> Degree&gt;</div>
<div class="line"><a name="l00392"></a><span class="lineno">  392</span>&#160;    PPolynomial&lt;Degree+1&gt; PPolynomial&lt;Degree&gt;::MovingAverage( <span class="keywordtype">double</span> radius )</div>
<div class="line"><a name="l00393"></a><span class="lineno">  393</span>&#160;    {</div>
<div class="line"><a name="l00394"></a><span class="lineno">  394</span>&#160;      PPolynomial&lt;Degree+1&gt; A;</div>
<div class="line"><a name="l00395"></a><span class="lineno">  395</span>&#160;      Polynomial&lt;Degree+1&gt; p;</div>
<div class="line"><a name="l00396"></a><span class="lineno">  396</span>&#160;      StartingPolynomial&lt;Degree+1&gt;* sps;</div>
<div class="line"><a name="l00397"></a><span class="lineno">  397</span>&#160; </div>
<div class="line"><a name="l00398"></a><span class="lineno">  398</span>&#160;      sps=(StartingPolynomial&lt;Degree+1&gt;*)malloc(<span class="keyword">sizeof</span>(StartingPolynomial&lt;Degree+1&gt;)*polyCount*2);</div>
<div class="line"><a name="l00399"></a><span class="lineno">  399</span>&#160; </div>
<div class="line"><a name="l00400"></a><span class="lineno">  400</span>&#160;      <span class="keywordflow">for</span>(<span class="keywordtype">int</span> i=0;i&lt;int(polyCount);i++){</div>
<div class="line"><a name="l00401"></a><span class="lineno">  401</span>&#160;        sps[2*i  ].start=polys[i].start-radius;</div>
<div class="line"><a name="l00402"></a><span class="lineno">  402</span>&#160;        sps[2*i+1].start=polys[i].start+radius;</div>
<div class="line"><a name="l00403"></a><span class="lineno">  403</span>&#160;        p=polys[i].p.integral()-polys[i].p.integral()(polys[i].start);</div>
<div class="line"><a name="l00404"></a><span class="lineno">  404</span>&#160;        sps[2*i  ].p=p.shift(-radius);</div>
<div class="line"><a name="l00405"></a><span class="lineno">  405</span>&#160;        sps[2*i+1].p=p.shift( radius)*-1;</div>
<div class="line"><a name="l00406"></a><span class="lineno">  406</span>&#160;      }</div>
<div class="line"><a name="l00407"></a><span class="lineno">  407</span>&#160;      A.set(sps,<span class="keywordtype">int</span>(polyCount*2));</div>
<div class="line"><a name="l00408"></a><span class="lineno">  408</span>&#160;      free(sps);</div>
<div class="line"><a name="l00409"></a><span class="lineno">  409</span>&#160;      <span class="keywordflow">return</span> A*1.0/(2*radius);</div>
<div class="line"><a name="l00410"></a><span class="lineno">  410</span>&#160;    }</div>
<div class="line"><a name="l00411"></a><span class="lineno">  411</span>&#160;    <span class="keyword">template</span>&lt;<span class="keywordtype">int</span> Degree&gt;</div>
<div class="line"><a name="l00412"></a><span class="lineno">  412</span>&#160;    <span class="keywordtype">void</span> PPolynomial&lt;Degree&gt;::getSolutions(<span class="keywordtype">double</span> c,std::vector&lt;double&gt;&amp; roots,<span class="keywordtype">double</span> EPS,<span class="keywordtype">double</span> min,<span class="keywordtype">double</span> max)<span class="keyword"> const</span>{</div>
<div class="line"><a name="l00413"></a><span class="lineno">  413</span>&#160;      Polynomial&lt;Degree&gt; p;</div>
<div class="line"><a name="l00414"></a><span class="lineno">  414</span>&#160;      std::vector&lt;double&gt; tempRoots;</div>
<div class="line"><a name="l00415"></a><span class="lineno">  415</span>&#160; </div>
<div class="line"><a name="l00416"></a><span class="lineno">  416</span>&#160;      p.setZero();</div>
<div class="line"><a name="l00417"></a><span class="lineno">  417</span>&#160;      <span class="keywordflow">for</span>(<span class="keywordtype">size_t</span> i=0;i&lt;polyCount;i++){</div>
<div class="line"><a name="l00418"></a><span class="lineno">  418</span>&#160;        p+=polys[i].p;</div>
<div class="line"><a name="l00419"></a><span class="lineno">  419</span>&#160;        <span class="keywordflow">if</span>(polys[i].start&gt;max){<span class="keywordflow">break</span>;}</div>
<div class="line"><a name="l00420"></a><span class="lineno">  420</span>&#160;        <span class="keywordflow">if</span>(i&lt;polyCount-1 &amp;&amp; polys[i+1].start&lt;min){<span class="keywordflow">continue</span>;}</div>
<div class="line"><a name="l00421"></a><span class="lineno">  421</span>&#160;        p.getSolutions(c,tempRoots,EPS);</div>
<div class="line"><a name="l00422"></a><span class="lineno">  422</span>&#160;        <span class="keywordflow">for</span>(<span class="keywordtype">size_t</span> j=0;j&lt;tempRoots.size();j++){</div>
<div class="line"><a name="l00423"></a><span class="lineno">  423</span>&#160;          <span class="keywordflow">if</span>(tempRoots[j]&gt;polys[i].start &amp;&amp; (i+1==polyCount || tempRoots[j]&lt;=polys[i+1].start)){</div>
<div class="line"><a name="l00424"></a><span class="lineno">  424</span>&#160;            <span class="keywordflow">if</span>(tempRoots[j]&gt;min &amp;&amp; tempRoots[j]&lt;max){roots.push_back(tempRoots[j]);}</div>
<div class="line"><a name="l00425"></a><span class="lineno">  425</span>&#160;          }</div>
<div class="line"><a name="l00426"></a><span class="lineno">  426</span>&#160;        }</div>
<div class="line"><a name="l00427"></a><span class="lineno">  427</span>&#160;      }</div>
<div class="line"><a name="l00428"></a><span class="lineno">  428</span>&#160;    }</div>
<div class="line"><a name="l00429"></a><span class="lineno">  429</span>&#160; </div>
<div class="line"><a name="l00430"></a><span class="lineno">  430</span>&#160;    <span class="keyword">template</span>&lt;<span class="keywordtype">int</span> Degree&gt;</div>
<div class="line"><a name="l00431"></a><span class="lineno">  431</span>&#160;    <span class="keywordtype">void</span> PPolynomial&lt;Degree&gt;::write(FILE* fp,<span class="keywordtype">int</span> samples,<span class="keywordtype">double</span> min,<span class="keywordtype">double</span> max)<span class="keyword"> const</span>{</div>
<div class="line"><a name="l00432"></a><span class="lineno">  432</span>&#160;      fwrite(&amp;samples,<span class="keyword">sizeof</span>(<span class="keywordtype">int</span>),1,fp);</div>
<div class="line"><a name="l00433"></a><span class="lineno">  433</span>&#160;      <span class="keywordflow">for</span>(<span class="keywordtype">int</span> i=0;i&lt;samples;i++){</div>
<div class="line"><a name="l00434"></a><span class="lineno">  434</span>&#160;        <span class="keywordtype">double</span> x=min+i*(max-min)/(samples-1);</div>
<div class="line"><a name="l00435"></a><span class="lineno">  435</span>&#160;        <span class="keywordtype">float</span> v=(*this)(x);</div>
<div class="line"><a name="l00436"></a><span class="lineno">  436</span>&#160;        fwrite(&amp;v,<span class="keyword">sizeof</span>(<span class="keywordtype">float</span>),1,fp);</div>
<div class="line"><a name="l00437"></a><span class="lineno">  437</span>&#160;      }</div>
<div class="line"><a name="l00438"></a><span class="lineno">  438</span>&#160;    }</div>
<div class="line"><a name="l00439"></a><span class="lineno">  439</span>&#160; </div>
<div class="line"><a name="l00440"></a><span class="lineno">  440</span>&#160;  }</div>
<div class="line"><a name="l00441"></a><span class="lineno">  441</span>&#160;}</div>
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